In Exercises 39-44, express each written description as an expression involving
ID: 3196984 • Letter: I
Question
In Exercises 39-44, express each written description as an expression involving one or more functions where T(n) is the rate of transmission of a disease (individ- uals per week), I(t) is the proportion of infected in- dividuals t weeks after the first case of the disease is discovered, and R(n) is the rate at which individuals recover (individuals per week) when a proportion n of the susceptible population is infected. Assume that each function is one-to-one. 39. The difference between rate of transmission and rate of recovery The ratio of rate of transmission to rate of recov- ery 5- 40. 41·The rate of transmission of the disease as a func- tion of time since the first case is discovered. 42. The rate of recovery as a function of time since the first case is discovered. 43. The proportion of infected as a function of the rate of recovery 44. The time since the first case is discovered as a function of the number of infected.Explanation / Answer
R(n)=I(t)/T(n)
T(n)=I(t)*t
where, t= no. of weeks
Therefore, R(n)=I(t)/T(n)
R(n) =I(t)/(I(t)*t)
R(n) =1/t.